Find the requested probability.
-A box contains the following mixture of colored marbles: 5 black, 3 red, 3 yellow, and 1 green. What is the probability of drawing three marbles of the following colors, in order, if they are drawn Without replacement: black, green, black?
A) $\frac { 1 } { 66 }$
B) $\frac { 1 } { 1320 }$
C) $\frac { 1 } { 264 }$
D) $\frac { 5 } { 36 }$

Question

Find the requested probability.
-A box contains the following mixture of colored marbles: 5 black, 3 red, 3 yellow, and 1 green. What is the probability of drawing three marbles of the following colors, in order, if they are drawn Without replacement: black, green, black? 
A) $\frac { 1 } { 66 }$
B) $\frac { 1 } { 1320 }$
C) $\frac { 1 } { 264 }$
D) $\frac { 5 } { 36 }$

Quizplus · Accepted Answer

The probability of drawing a black marble first is 5/12 (since there are 5 black marbles out of 12 total marbles). After removing one black marble, the probability of then drawing the green marble is 1/11 (since there's only 1 green marble out of the remaining 11 marbles). Finally, with one black and one green marble removed, the probability of drawing another black marble is 4/10 (since there are now 4 black marbles left out of 10 total marbles). Multiplying these probabilities together gives the overall probability: (5/12) * (1/11) * (4/10) = 20/1320 = 1/66.

Find the Requested Probability 166\frac { 1 } { 66 }661​

Find the Requested Probability $\frac { 1 } { 66 }$